#### Answer

There are infinitely many solutions to this system of equations.

#### Work Step by Step

We can use the first equation to substitute for $y$ in the second equation. Then we can solve for $x$ first:
$x = (x + 1) - 1$
We don't need the parentheses here, so let's get rid of them:
$x = x + 1 - 1$
Simplify the right side of the equation:
$x = x$
Move the $x$ terms to the left side of the equation by subtracting $x$ from each side of the equation:
$0 = 0$
This means that this statement is true for every value of $x$; therefore, there are infinitely many solutions to this system of equations.